Factors of 210
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 210 is a whole number that divides it with nothing left over. You only need to test the numbers up to √210 ≈ 14.49; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 576. Without 210 itself that is 366, so 210 is an abundant number.
LaTeX source of the formulas on this page
\[ 210 = 2 \times 3 \times 5 \times 7 \]
Factor pairs of 210
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 210 | 1 × 210 = 210 |
| 2 | 105 | 2 × 105 = 210 |
| 3 | 70 | 3 × 70 = 210 |
| 5 | 42 | 5 × 42 = 210 |
| 6 | 35 | 6 × 35 = 210 |
| 7 | 30 | 7 × 30 = 210 |
| 10 | 21 | 10 × 21 = 210 |
| 14 | 15 | 14 × 15 = 210 |
Questions
What are the factors of 210?
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210. It has 16 factors.
What are the prime factors of 210?
2, 3, 5, 7. As a product: 2 × 3 × 5 × 7.
How many factors does 210 have?
210 has 16 factors (8 factor pairs).
What is the sum of the factors of 210?
576.
Is 210 a prime number?
No. It is divisible by 2, so 210 = 2 × 105.